Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control
Current industrial practice knows many optimization tasks that can be cast as mixed-integer optimal control problems. Due to the combinatorial character of these problems, the computation of optimal solutions under real-time constraints is still a demandi
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VIEWEG+TEUBNER RESEARCH Advances in Numerical Mathematics Herausgeber | Editors: Prof. Dr. Dr. h. c. Hans Georg Bock Prof. Dr. Dr. h. c. Wolfgang Hackbusch Prof. Mitchell Luskin Prof. Dr. Dr. h. c. Rolf Rannacher
Christian Kirches
Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control
VIEWEG+TEUBNER RESEARCH
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Dissertation Heidelberg University, 2010
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Acknowledgments
„Aber in der Beschäftigung selbst Vergnügen finden — dies ist das Geheimnis des Glücklichen!“ Sophie Mereau
This work was presented to the combined faculty for mathematics and natural sciences of Heidelberg University as a doctoral thesis in mathematics on July 23rd , 2010, and was successfully defended on November 2nd . My deeply felt gratitude for their excellent support goes to my teachers and mentors Professor Dr. Dr. h.c. Hans Georg Bock and Professor Dr. Gerhard Reinelt, as well as Dr. Sebastian Sager and Dr. Johannes P. Schlöder. Their extensive knowledge laid the essential foundation for this thesis. With their warm and open–minded spirit and the friendly and cooperative atmosphere they maintain in their research groups, they made my work in the past three years a pleasure. Many members of the work group Simulation and Optimization as well as the junior research group Mathematical and Computational Optimization have made significant contributions to the creation and success of this work. Among them, it is my desire to say a special thank you to Jan Albersmeyer, Dörte Beigel, Chris Hoffmann, Andreas Potschka and Leo Wirsching. Over countless cups of coffee they gave many and much needed inspirations and contributed to the progress of this work during many discussions. Without you, it wouldn’t have been even half the fun, but certainly twice the time. Moreover, I would like to point out Alexander Buchner and Florian Kehrle, who both made most valuable contributions during their diploma theses. F
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